3428958720 has 320 divisors, whose sum is σ = 12292891776. Its totient is φ = 808058880.

The previous prime is 3428958697. The next prime is 3428958727. The reversal of 3428958720 is 278598243.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3428958720.

It is not an unprimeable number, because it can be changed into a prime (3428958727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3125212 + ... + 3126308.

Almost surely, 2^3428958720 is an apocalyptic number.

3428958720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6146445888).

3428958720 is an abundant number, since it is smaller than the sum of its proper divisors (8863933056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3428958720 is a wasteful number, since it uses less digits than its factorization.

3428958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3428958720 is about 58557.3114136911. The cubic root of 3428958720 is about 1507.9516573892.

The spelling of 3428958720 in words is "three billion, four hundred twenty-eight million, nine hundred fifty-eight thousand, seven hundred twenty".